Vincentreymagana6idn
Answered

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Cindy owns 7 t-shirts, 2 of which are gray. If Cindy randomly selects a t-shirt to wear, what is the probability it will be gray? *
2/7
7/7
5/7
1/7
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Sagot :

Altair1234567890idn

Answer:

The probability that the t-shirt randomly selected by Cindy is [tex]\frac{2}{7}[/tex].

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Rktmobilezidn

Question:

Cindy owns 7 t-shirts, 2 of which are gray. If Cindy randomly selects a t-shirt to wear, what is the probability it will be gray? *

2/7

7/7

5/7

1/7

Answer:

2/7

Solution:

solve for Probability of desired event P(event) as,

[tex]\sf P(event) = \frac{FO}{TO} \\\\where,\\\\\text{\sf P = Probability of Desired Event}\\\\\text{\sf FO = Favored Outcome = depends on desired event}\\\\\text{\sf TO = Total Outcome = Total number of objects}[/tex]

So to solve for Probability of selecting a gray shirt P(gray),

[tex]\sf P(gray) = \frac{FO}{TO} \\\\where,\\\\\text{\sf P(gray) = Probability of getting a gray shirt}\\\\\text{\sf FO = Favored Outcome = 2 (2 gray shirts)}\\\\\text{\sf TO = Total Outcome = 7 (7 total t-shirts)}\\\\\sf P(gray) = \frac{FO}{TO} \\\\\sf P(gray) = \frac{2}{7}[/tex]

[tex]\therefore \;\large\boxed{\text{\sf The probability is $\sf \frac{2}{7}$}}[/tex]

* as always, double check my answers for errors or carelessness.

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